early vs not a minute too soon

early

adv
  • At a time before expected; sooner than usual. 

  • Soon; in good time; seasonably. 

noun
  • A shift (scheduled work period) that takes place early in the day. 

adj
  • Near the start or beginning. 

  • Near the start of the day. 

  • Having begun to occur; in its early stages. 

  • At a time in advance of the usual or expected event. 

  • Arriving a time before expected; sooner than on time. 

  • Of a star or class of stars, hotter than the sun. 

not a minute too soon

adv
  • after an undesirable delay; undesirably late 

  • at the last possible moment; just in time 

How often have the words early and not a minute too soon occurred in a corpus of books? (source: Google Ngram Viewer )